Pith Number

pith:O2F7UZ5H

pith:2025:O2F7UZ5HQUCLHJUEPTAKL3L745

not attested not anchored not stored refs pending

Operators associated with a domain in $\mathbb C^4$ and applications

Nitin Tomar, Sourav Pal

arxiv:2507.14589 v2 · 2025-07-19 · math.FA · math.CV · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2F7UZ5HQUCLHJUEPTAKL3L745}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Function theory of the hexablock and applications to the tetrablock and Euclidean biball

Receipt and verification

First computed	2026-06-12T00:07:48.142703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768bfa67a78504b3a6847cc0a5ed7fe760cf49ff5e389fa195a0ae4d4e347c56

Aliases

arxiv: 2507.14589 · arxiv_version: 2507.14589v2 · doi: 10.48550/arxiv.2507.14589 · pith_short_12: O2F7UZ5HQUCL · pith_short_16: O2F7UZ5HQUCLHJUE · pith_short_8: O2F7UZ5H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O2F7UZ5HQUCLHJUEPTAKL3L745 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 768bfa67a78504b3a6847cc0a5ed7fe760cf49ff5e389fa195a0ae4d4e347c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2b774368b8ffc14fb423bb38715466560a67e8e5882d763d76fe28d6e8997c",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-07-19T12:22:25Z",
    "title_canon_sha256": "8ea0dfb976ebff9b5b42791c31b42ac7e99bad189c539273d269ca53fee881b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.14589",
    "kind": "arxiv",
    "version": 2
  }
}